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Finding the Fourth Proportional to 223,284.16, 307,920.60 and 146,668.48

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Solution

The fourth proportional to 223,284.16, 307,920.60 and 146,668.48 is: 202,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,284.16 : 307,920.60 = 146,668.48 : x
  2. Step 2: Convert to fraction form
    223,284.16/307,920.60 = 146,668.48/x
  3. Step 3: Cross multiply
    223,284.16x = 307,920.60 × 146,668.48
  4. Step 4: Simplify right side
    223,284.16x = 45,162,246,362.69
  5. Step 5: Solve for x
    x = 45,162,246,362.69/223,284.16
  6. Step 6: Final answer
    x = 202,263.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.